The horizontal component of the velocity is equal to: D. 15 m/s.
<u>Given the following data:</u>
To determine the horizontal component of the velocity:
The horizontal component of the velocity represents the influence of velocity in displacing an object or projectile in the horizontal direction.
Mathematically, the horizontal component of velocity is given by the formula:

Substituting the given parameters into the formula, we have;

Horizontal component, Vx = 15 m/s
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Answer:
x = 0.81 m
Explanation:
given,
spring constant, k = 769 N/m
Potential energy of the spring = 250 J
distance of spring compression = ?
using conservation of energy
potential energy will equal to the spring energy


x² = 0.650
x = 0.81 m
Hence, the spring is compressed to 0.81 m
Answer:
78 percent
Explanation:
I guess that's the right answer
The change in internal energy of the system is +187 J
Explanation:
According to the first law of thermodynamics, the change in internal energy of a system is given by the equation:

where
is the change in internal energy
Q is the heat absorbed by the system
W is the work done on the system
For the system in this problem, we have
W = +108 J is the work done on it
Q = +79 J is the hear added to it
So, the change in internal energy is

Learn more about thermodynamics here:
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Answer:
time at which Kathy overtakes Stan is 6.70 sec
Explanation:
given data
time = 1 sec
acceleration= 3.4 m/s²
acceleration = 4.49 m/s²
to find out
the time at which Kathy overtakes Stan
solution
we consider here travel time for kathy = t1
and travel time for stan is = t2
and we know initial velocity = 0
so
t1 = 1 + t2
and distance travel equation by kinematic is
d1 = ut +
at²
d1 = 0+
4.49 (t2)² ................1
and
d2 = 0 +
3.4 (1+t2)² ..................2
and when overtake distance same so from equation 1 and 2
4.49 (t2)² =
3.4 (1+t2)²
t2 = 6.703828 sec
so time at which Kathy overtakes Stan is 6.70 sec